Controlling synthesis of BiIn dendritic nanocrystals by solution dispersion

In this study, we report a novel and simple solution-phase route for one-dimensional metal nanocrystals. BiIn nanocrystals were prepared by directly dispersing melting BiIn alloy at an appropriate solvent. The as-obtained BiIn nanocrystals with a dendritic shape possess a good crystalline phase. The morphology of the nanocrystals can be greatly modified by changing the reaction parameters. This strong UV emission might arise from the quantum-confined In2O3 particles.     

New Deformation of Para-Bose Statistics

We propose commutation relations for a single mode -deformed para-Bose oscillator. In this new deformation of para-Bose statistics the distribution function has the same form as in the para-Bose statistics. Furthermore, we show analogies between the coherent states of -deformed and q-deformed para-Bose statistics.     

Computing an Integer Point of a Class of Convex Sets

A simplicial algorithm is proposed for computing an integer point of a convex set ^CRn satisfying

A justification for the use of approximate transition amplitudes in semiclassical surface hopping

Recent work has shown that a certain surface hopping form of the wave function is capable of obtaining highly accurate transition probabilities for nonadiabatic problems. It has also been found that it is necessary to include hops in classically forbidden regions in order to obtain this level of accuracy at low energies. The amplitude for the hops in this surface hopping expansion of the wave function has the typical p^?1/2 semiclassical divergence at the turning points in the classical motion. While this singularity is an integrable divergence, the divergent behavior complicates the numerical evaluation of the integrals over hopping points that is present in the surface hopping expressions. Numerical evidence has shown that only small errors are incurred at most energies if these singular hopping amplitudes are replaced with a nonsingular approximation. This agreement is surprising, since the exact and approximate amplitudes differ greatly in the turning point region, and this region is expected to make important contributions to the transition probability at low energies. A numerical analysis is presented in this work that provides a justification as to why this numerically useful approximation works as well as it does.     

Electron transfer reactions between vinylmagnesium bromide and phenyl-substituted methyl chlorides

The reaction of vinylmagnesium bromide ( 1 ) with trityl chloride ( 2 ) was investigated and the products were identified as triphenylmethane ( 3 ) (81 %), acetylene ( 4 ) (74%), trityl peroxide ( 6 ) (4%), and minute amounts of triphenylpropene ( 7 ) and p-diphenylmethyltetraphenylmethane ( 8 ). The results indicate that 1 possesses reducing property. The reaction mixture showed an ESR spectrum identical with that for trityl radical and the CIDNP of enhanced absorption for 4-H of l-diphenylmethylene-4-trityl-2,5-cyclohexadiene ( 9 ). Trapping experiment with styrene decreased the amount of 3 but had no effect on the formation of 4. The reducing property of 1 is discussed and one electron transfer mechanism for the reaction of 1 with 2 is proposed. S-T₀ mixing between trityl and·MgBr occurred and the coupling of polarized trityl radical with another trityl radical resulted in the formation of polarized dimeric product. The different character between the reaction of 1 and 2 and that of 1 and diphenylmethyl chloride ( 10 ) may be rationalized by the different electron-accepting abilities between 2 and 10. The origin of CIDNP effect shown by the product tetraphenylethane ( 11 ) for the reaction of 1 with 10 is also explained according to Kaptein's sign rule.     

DEAD-(cat)ZnBr2 an efficient system for the oxidation of alcohols to carbonyl compounds

The combination of diethyl azodicarboxylate (DEAD) and a catalytic amount of ZnBr₂ is an efficient system for the dehydrogenation of alcohols to the corresponding carbonyl compounds. The scope and limitations of this process have been studied.